A parallelogram has a perimeter of 50.12 inches. The two longer sides of the parallelogram are each 16.14 inches. Write an equation to find the length x of each of the shorter sides.

The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Perimeter of the parallelogram = 50.12 inches

Length of the longer sides = 16.14 inches

Length of the shorter sides = x

2. Write an equation to find the length x of each of the shorter sides.

Perimeter of the parallelogram = 2 * Length of the longer sides + 2 * Length of the shorter sides

50.12 = 2 * 16.14 + 2 * x

2x + 32.28 = 50.12

2x = 50.12 - 32.28

2x = 17.84

x = 17.84/2

x = 8.92

The equation to find the length of each of the shorter sides of the parallelogram is 2x + 32.28 = 50.12 and the value of x is 8.92 inches.